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Gravitational waves are produced by orbiting massive binary objects, such as black holes and neutron stars, and propagate as ripples in the very fabric of spacetime. As the waves carry off orbital energy, the two bodies spiral into each…

广义相对论与量子宇宙学 · 物理学 2019-02-20 Dillon Buskirk , Maria C. Babiuc Hamilton

We apply the classical double copy to the calculation of self-energy of composite systems with multipolar coupling to gravitational field, obtaining next-to-leading order results in the gravitational coupling $G_N$ by generalizing color to…

广义相对论与量子宇宙学 · 物理学 2020-12-14 Gabriel Luz Almeida , Stefano Foffa , Riccardo Sturani

To enable detection and maximise the physics output of gravitational wave observations from compact binary systems, it is crucial the availability of accurate waveform models. The present work aims at giving an overview for non-experts of…

广义相对论与量子宇宙学 · 物理学 2021-09-22 Soichiro Isoyama , Riccardo Sturani , Hiroyuki Nakano

The inspiral of compact binaries, driven by gravitational-radiation reaction, is investigated through 7/2 post-Newtonian (3.5PN) order beyond the quadrupole radiation. We outline the derivation of the 3.5PN-accurate binary's center-of-mass…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Luc Blanchet , Guillaume Faye , Bala R. Iyer , Benoit Joguet

Different numbers of self-gravitating particles (in different types of periodic motion) are most likely to generate very different shapes of gravitational waves, some of which, however, can be accidentally almost the same. One such example…

广义相对论与量子宇宙学 · 物理学 2009-07-22 Yuji Torigoe , Keisuke Hattori , Hideki Asada

The energy of a compact binary system at the fifth post-Newtonian order is explicitly computed in the post-Minkowskian approximation by means of the Effective Field Theory approach. This result allows to determine, for the first time beyond…

广义相对论与量子宇宙学 · 物理学 2014-01-27 Stefano Foffa

An exponential representation of the S-matrix provides a natural framework for understanding the semi-classical limit of scattering amplitudes. While sharing some similarities with the eikonal formalism it differs from it in details.…

高能物理 - 理论 · 物理学 2021-12-08 Poul H. Damgaard , Ludovic Plante , Pierre Vanhove

Binary Systems are the most studied sources of gravitational waves. The mechanisms of emission and the behavior of the orbital parameters are well known and can be written in analytic form in several cases. Besides, the strongest indication…

宇宙学与河外天体物理 · 物理学 2015-04-24 E. F. D. Evangelista , J. C. N. de Araujo

In this study, gravitational waveforms emitted by inspiralling compact binary systems on quasicircular orbits in hybrid metric-Palatini gravity are computed in the lowest post-Newtonian approximation. By applying the stationary phase…

广义相对论与量子宇宙学 · 物理学 2025-07-28 P. I. Dyadina

Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modelled using a variety of approximation schemes and numerical…

广义相对论与量子宇宙学 · 物理学 2014-10-06 Alexandre Le Tiec

We investigate the production of gravitational waves during the inspiral of compact binaries close to their merger in the context of a conformal gravity model. The model incorporates five massive polarization degrees of freedom, besides the…

广义相对论与量子宇宙学 · 物理学 2019-04-17 Patric Hölscher , Dominik J. Schwarz

The inspiral phase of gravitational waves emitted by spinless compact binary systems is derived through the fourth-and-a-half post-Newtonian (4.5PN) order beyond quadrupole radiation, and the leading amplitude mode ($\ell$, m) = (2, 2) is…

广义相对论与量子宇宙学 · 物理学 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

We initiate the construction of the global Poincar\'e algebra generators in the context of the post-Minkowskian Hamiltonian formulation of gravitating binary dynamics in isotropic coordinates that is partly inspired by scattering…

广义相对论与量子宇宙学 · 物理学 2023-06-06 Hojin Lee , Sangmin Lee

We compute the rotations, during a scattering encounter, of the spins of two gravitationally interacting particles at second-order in the gravitational constant (second post-Minkowskian order). Following a strategy introduced in Phys. Rev.…

广义相对论与量子宇宙学 · 物理学 2018-08-29 Donato Bini , Thibault Damour

Waveforms are classical observables associated with any radiative physical process. Using scattering amplitudes, these are usually computed in a weak-field regime to some finite order in the post-Newtonian or post-Minkowskian approximation.…

高能物理 - 理论 · 物理学 2023-07-19 Tim Adamo , Andrea Cristofoli , Anton Ilderton , Sonja Klisch

The linear- and quadratic-in-spin contributions to the binding potential and gravitational-wave flux from binary systems are derived to next-to-next-to-leading order in the Post-Newtonian (PN) expansion of general relativity, including…

广义相对论与量子宇宙学 · 物理学 2022-11-23 Gihyuk Cho , Rafael A. Porto , Zixin Yang

Motivated by experimental probes of general relativity, we adopt methods from perturbative (quantum) field theory to compute, up to certain integrals, the effective lagrangian for its n-body problem. Perturbation theory is performed about a…

广义相对论与量子宇宙学 · 物理学 2009-03-12 Yi-Zen Chu

Finite order invariants (Vassiliev invariants) of knots are expressed in terms of weight systems, that is, functions on chord diagrams satisfying the four-term relations. Weight systems have graph analogues, so-called $4$-invariants of…

组合数学 · 数学 2018-06-01 V. I. Zhukov

To be observed and analyzed by the network of current gravitational wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation ground based (Einstein Telescope, Cosmic Explorer) and space borne (LISA) detectors,…

广义相对论与量子宇宙学 · 物理学 2024-07-16 Luc Blanchet

A generalized true anomaly-type parametrization, convenient to describe both bound and open orbits of a two-body system in general relativity is introduced. A complete description of the time evolution of both the radial and of the angular…

广义相对论与量子宇宙学 · 物理学 2010-10-05 János Majár , Péter Forgács , Mátyás Vasúth